Atkin-Lehner |
2+ 3- 5+ 7- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
42210h |
Isogeny class |
Conductor |
42210 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
93288437844033600 = 26 · 310 · 52 · 72 · 674 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3770775,2819248861] |
[a1,a2,a3,a4,a6] |
Generators |
[998:6521:1] |
Generators of the group modulo torsion |
j |
8133699171984602252401/127967678798400 |
j-invariant |
L |
3.8262276900052 |
L(r)(E,1)/r! |
Ω |
0.30981318885285 |
Real period |
R |
3.0875280876304 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14070g3 |
Quadratic twists by: -3 |